Analysis of quasi-Monte Carlo methods for elliptic eigenvalue problems with stochastic coefficients AD Gilbert, IG Graham, FY Kuo, R Scheichl, IH Sloan Numerische Mathematik 142 (4), 863-915, 2019 | 10 | 2019 |
Small superposition dimension and active set construction for multivariate integration under modest error demand AD Gilbert, GW Wasilkowski Journal of Complexity 42, 94-109, 2017 | 9 | 2017 |
Efficient implementations of the multivariate decomposition method for approximating infinite-variate integrals AD Gilbert, FY Kuo, D Nuyens, GW Wasilkowski SIAM Journal on Scientific Computing 40 (5), A3240-A3266, 2018 | 8 | 2018 |
Bounding the spectral gap for an elliptic eigenvalue problem with uniformly bounded stochastic coefficients AD Gilbert, IG Graham, R Scheichl, IH Sloan 2018 MATRIX Annals, 29-43, 2020 | 3 | 2020 |
Hiding the weights—CBC black box algorithms with a guaranteed error bound AD Gilbert, FY Kuo, IH Sloan Mathematics and Computers in Simulation 143, 202-214, 2018 | 1 | 2018 |
Equivalence between Sobolev spaces of first-order dominating mixed smoothness and unanchored ANOVA spaces on AD Gilbert, FY Kuo, IH Sloan arXiv preprint arXiv:2103.16075, 2021 | | 2021 |
Multilevel quasi-Monte Carlo for random elliptic eigenvalue problems II: Efficient algorithms and numerical results AD Gilbert, R Scheichl arXiv preprint arXiv:2103.03407, 2021 | | 2021 |
Multilevel quasi-Monte Carlo for random elliptic eigenvalue problems I: Regularity and error analysis AD Gilbert, R Scheichl arXiv preprint arXiv:2010.01044, 2020 | | 2020 |
Algorithms for numerical integration in high and infinite dimensions: Analysis, applications and implementation AD Gilbert The University of New South Wales, 2018 | | 2018 |